20970136800 has 216 divisors, whose sum is σ = 75666735144. Its totient is φ = 5461908480.

The previous prime is 20970136793. The next prime is 20970136807. The reversal of 20970136800 is 863107902.

It is an interprime number because it is at equal distance from previous prime (20970136793) and next prime (20970136807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20970136807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 275734 + ... + 343466.

It is an arithmetic number, because the mean of its divisors is an integer number (350308959).

Almost surely, 2^20970136800 is an apocalyptic number.

20970136800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20970136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37833367572).

20970136800 is an abundant number, since it is smaller than the sum of its proper divisors (54696598344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20970136800 is a wasteful number, since it uses less digits than its factorization.

20970136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67802 (or 67786 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20970136800 in words is "twenty billion, nine hundred seventy million, one hundred thirty-six thousand, eight hundred".